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4226397696 = 29331916091
BaseRepresentation
bin1111101111101001…
…1011011000000000
3101220112201020201000
43323322123120000
532123424211241
61535214212000
7206506534113
oct37372333000
911815636630
104226397696
111879767164
1299b4b4000
135247bc151
142c144857a
1519b095eb6
hexfbe9b600

4226397696 has 160 divisors (see below), whose sum is σ = 13169692800. Its totient is φ = 1334568960.

The previous prime is 4226397689. The next prime is 4226397713. The reversal of 4226397696 is 6967936224.

4226397696 is a `hidden beast` number, since 422 + 63 + 9 + 76 + 96 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254611 + ... + 270701.

It is an arithmetic number, because the mean of its divisors is an integer number (82310580).

Almost surely, 24226397696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584846400).

4226397696 is an abundant number, since it is smaller than the sum of its proper divisors (8943295104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4226397696 is a wasteful number, since it uses less digits than its factorization.

4226397696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137 (or 16115 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 4226397696 is about 65010.7506186477. The cubic root of 4226397696 is about 1616.8018110332.

The spelling of 4226397696 in words is "four billion, two hundred twenty-six million, three hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 512 513 576 608 684 768 864 912 1026 1152 1216 1368 1536 1728 1824 2052 2304 2432 2736 3456 3648 4104 4608 4864 5472 6912 7296 8208 9728 10944 13824 14592 16091 16416 21888 29184 32182 32832 43776 48273 64364 65664 87552 96546 128728 131328 144819 193092 257456 262656 289638 305729 386184 434457 514912 579276 611458 772368 868914 917187 1029824 1158552 1222916 1544736 1737828 1834374 2059648 2317104 2445832 2751561 3089472 3475656 3668748 4119296 4634208 4891664 5503122 6178944 6951312 7337496 8238592 8254683 9268416 9783328 11006244 12357888 13902624 14674992 16509366 18536832 19566656 22012488 24715776 27805248 29349984 33018732 37073664 39133312 44024976 55610496 58699968 66037464 74147328 78266624 88049952 111220992 117399936 132074928 156533248 176099904 222441984 234799872 264149856 352199808 469599744 528299712 704399616 1056599424 1408799232 2113198848 4226397696